A thief noticed a policeman at a distance of 600 metres. The thief started…

2024

A thief noticed a policeman at a distance of 600 metres. The thief started running and the policeman chased him. The thief and policeman are running at speeds of 12 km/h and 15 km/h, respectively. Find the time (in minutes) required for the policeman to catch the thief.

  1. A.

    8

  2. B.

    10

  3. C.

    12

  4. D.

    15

Attempted by 6 students.

Show answer & explanation

Correct answer: C

Calculate Relative Speed: Since both are moving in the same direction, subtract their speeds: 15 km/h - 12 km/h = 3 km/h.

Convert Distance to km: 600 meters = 0.6 km.

Calculate Time in Hours: Time = Distance / Relative Speed = 0.6 km / 3 km/h = 0.2 hours.

Convert to Minutes: 0.2 hours × 60 minutes/hour = 12 minutes.

Final Answer: Option 3

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